What is the square root of 173
The short answer is \( \sqrt{ 173 } = 13.152946437966 \).
If that's all you're looking for, thanks for coming by. But if you're interested in the hows and whys behind square roots, continue reading and we'll tell you all about the square root of 173.
173 is not a perfect square
Let's look at some math
$$ \LARGE \sqrt{ 173 } = 13.152946437966 $$
Note that \(13.152946437966\) is not a whole number, therefore 173 is not a perfect square.
The next perfect square greater than 173 is 196. The previous perfect square less than 173 is 169.
Square root of 173 as an exponent
Any square root can be converted to a number with a fractional exponent. In the case of 173 the following two values are equal.
$$ \LARGE \sqrt{ 173 } = 173^{^1/_2} $$
Square root of 173 as a fraction
Since 173 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 173 that value is \(\Large 13 \frac{13}{85}\).
Square Root Calculator
Enter any number up to 1,000,000 in this field to calculate the square root